A 747 is fuled with 293,337 L of jet fuel. If the density of the fuel is 0.768 g/cm^3, what is the mass of the fuel in kilograms

Answer 1

Hi Lindsey H.,

What are we given:

293,337 L of jet fuel

0.768 g = 1 cm³, density of jet fuel

And were asked for the kg of the jet fuel so we will be going from L to kg using the density.

We'll also need:

1 L = 1000 cm³

1000 g = 1 kg

? kg = 293,337 L*(1000 cm³ / 1 L)*(0.768 g / 1 cm³)*(1 kg / 1000 g) = 225,283 kg.

After seeing that the 1000's in the problem cancel, we could have just as easily converted the density from 0.768 g/cm³ to 0.768 kg/L, [293,337 L*(0.768 kg/L) = 225,283 kg].

I hope this helps, Joe.